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2 years ago

Given the parent function of f(x) = x³, what is the value of k in the translated graph of f(x - h) + k?

Mathematics

1 answer:

jekas [21]2 years ago

7 0

The value of k in the translated graph of f(x - h) + k is; k = 2

<h3>How to carry out Translations on Graphs?</h3>

We are given the parent function of f(x) = x³.

Now, the point (0, 0) in the graph of f(x) is the point (3, 2) in the translated graph. Thus;

The rule of translation is;

(x, y) → (x + 3, y + 2)

That means;

The translation is 3 units to the right and 2 units up

The equation of the translated graph is equal to;

f(x) = (x - 3)³ + 2

Thus;

The value of k is equal to 2.

Read more about Graph Translations at; brainly.com/question/4025726

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Decrease means minus or '-'
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4 years ago

What is the relationship between 30 hours and 15 hours

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3 years ago

Complete the point-slope equation of the line through (1,3) (5,1) y-3=?

MaRussiya [10]

Answer:

$\huge\boxed{y-3=-\frac{1}{2}(x-1)}$

Step-by-step explanation:

Point-slope is:

$y-y_1=m(x-x_1)$

$m-\text{This represents the slope.}\\\\(x_1,y_1)-\text{This represents the point used in the equation.}$

We have to complete the point-slope equation of the line through (1,3) (5,1).

--------------------------------------------------------

We have a incomplete equation of the line.

$y-3=m(x-x_1)$

We need to find the <u>slope</u> of the line, and the <u>value</u> of $x_1$ .

--------------------------------------------------------

<h3>Finding 'x1':</h3>

It seems that the value of 3 was used to be $y_1$ . This means that the point $(1,3)$ was used for the equation. This means that $x_1$ would have to be 1.

<h3>Finding Slope:</h3>

Slope is rise over run.

$m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}$

We are given the points (1,3) and (5,1).

$m=\frac{1-3}{5-1}=\frac{-2}{4}=\frac{-1}{2}=\boxed{-\frac{1}{2}}$

The slope is one-half.

--------------------------------------------------------

We now have enough information to complete the point-slope equation.

${\left \{ {{x_1=1} \atop {m=-\frac{1}{2} }} \right.}\\\\y-3=m(x-x_1)\rightarrow\boxed{y-3=-\frac{1}{2}(x-1)}$

Our final equation is:

$y-3=-\frac{1}{2}(x-1)$

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3 years ago

children climb 8 ft to get to the top of a slide. the end of the slide is 1 ft above the ground and the slide rises at a 45 degr

amm1812

Since the end of the slide is 1 foot above the ground, the vertical rise of the
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Mnenie [13.5K]

Answer:

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Step-by-step explanation:

Data:

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